TY - JOUR

T1 - A lower bound for Coulomb energies

AU - Lieb, Elliott H.

N1 - Funding Information:
1 Work partially supported by U.S. National Science Founda-
Copyright:
Copyright 2014 Elsevier B.V., All rights reserved.

PY - 1979/4/2

Y1 - 1979/4/2

N2 - The indirect Coulomb energy for particles of charge e is usually approximated by E ≈ -Ce 2 3 ∫ ρ{variant}(x) 4 3d(x), where ρ{variant}(x) is the single-particle charge density. We prove that, for a suitable constant C, this form for E is actually a universal lower bound.

AB - The indirect Coulomb energy for particles of charge e is usually approximated by E ≈ -Ce 2 3 ∫ ρ{variant}(x) 4 3d(x), where ρ{variant}(x) is the single-particle charge density. We prove that, for a suitable constant C, this form for E is actually a universal lower bound.

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U2 - 10.1016/0375-9601(79)90358-X

DO - 10.1016/0375-9601(79)90358-X

M3 - Article

AN - SCOPUS:0011609035

SN - 0375-9601

VL - 70

SP - 444

EP - 446

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

IS - 5-6

ER -